ns1828997: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application.
MIPLIB Entry

Parent Instance (ns1828997)

All other instances below were be compared against this "query" instance.

ns1828997 Raw ns1828997 Decomposed ns1828997 Composite of MIC top 5 ns1828997 Composite of MIPLIB top 5 ns1828997 Model Group Composite
Raw This is the CCM image before the decomposition procedure has been applied.
Decomposed This is the CCM image after a decomposition procedure has been applied. This is the image used by the MIC's image-based comparisons for this query instance.
Composite of MIC Top 5 Composite of the five decomposed CCM images from the MIC Top 5.
Composite of MIPLIB Top 5 Composite of the five decomposed CCM images from the MIPLIB Top 5.
Model Group Composite Image Composite of the decomposed CCM images for every instance in the same model group as this query.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
neos-1367061 decomposed moj-mining decomposed b-ball decomposed scpm1 decomposed mod008inf decomposed
Name neos-1367061 [MIPLIB] moj-mining [MIPLIB] b-ball [MIPLIB] scpm1 [MIPLIB] mod008inf [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.901 2 / 1.146 3 / 1.156 4 / 1.188 5 / 1.202
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1367061 raw moj-mining raw b-ball raw scpm1 raw mod008inf raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
fhnw-schedule-pairb200 decomposed neos-4260495-otere decomposed neos-631710 decomposed ns1904248 decomposed supportcase10 decomposed
Name fhnw-schedule-pairb200 [MIPLIB] neos-4260495-otere [MIPLIB] neos-631710 [MIPLIB] ns1904248 [MIPLIB] supportcase10 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all model groups. A smaller ISS value indicates greater similarity.
6 / 1.221 182 / 1.487 221 / 1.509 330 / 1.569 932 / 2.665
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
fhnw-schedule-pairb200 raw neos-4260495-otere raw neos-631710 raw ns1904248 raw supportcase10 raw

Instance Summary

The table below contains summary information for ns1828997, the five most similar instances to ns1828997 according to the MIC, and the five most similar instances to ns1828997 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance ns1828997 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 0.000000 -
MIC Top 5 neos-1367061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.900959 1
moj-mining [MIPLIB] Alexandra M. Newman open pit mine production scheduling problem with inventory 1.145886 2
b-ball [MIPLIB] Christopher Cullenbine It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. 1.156428 3
scpm1 [MIPLIB] Shunji Umetani This is a random test instance generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five instances. We have also generated reduced instances by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.188265 4
mod008inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.202291 5
MIPLIB Top 5 fhnw-schedule-pairb200 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 1.220603 6
neos-4260495-otere [MIPLIB] Jeff Linderoth (None provided) 1.486755 182
neos-631710 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. Solved with Gurobi 4.6.1 (12 threads) in 1264.7 sec. 1.509316 221
ns1904248 [MIPLIB] NEOS Server Submission Sensor placement problem 1.569174 330
supportcase10 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.665194 932


ns1828997: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-13
Assigned Model Group Rank/ISS in the MIC: 94 / 2.574

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: scp Model group: stein Model group: markshare Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-21
Name scp stein markshare neos-pseudoapplication-74 neos-pseudoapplication-21
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 1.593 2 / 1.607 3 / 1.693 4 / 1.792 5 / 1.806

Model Group Summary

The table below contains summary information for the five most similar model groups to ns1828997 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.593009 1
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.607097 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.693345 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.792058 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.805922 5